By Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Alexander F. Vakakis

there are various monographs within the present literature dedicated to the static and dynamic habit of plates and shells. Plates and shells are enco- tered frequently in engineering purposes being integralparts of quite a lot of buildings, equivalent to machines, autos, airplanes, rockets, ships, bridges, constructions, and packing containers, to call a couple of. as well as the standard requi- ments posedby engineersrelatedtolightweightness, su?cientrigidityor?- ibility, and strong balance homes, there's an extra classification ofapriori dynamicalpropertiesrequiredbymodernengineeringapplicationswheren- homogeneity and non-uniformity of structural parts is usually the norm incertainapplications. Inaddition, strictoperationalrequirementsinmodern engineering purposes in the direction of better speeds, lighter development, powerful andreliableperformance, dictatessmallermarginsoferrorordeviationsfrom prescribed performances in opposed or doubtful forcing environments. This, in flip, calls for the improvement of latest analytical and computational instruments able to addressing tough and never rather well built subject matters, equivalent to, nonlinearities a?ecting the procedure functionality, the e?ects of unmodeled dynamics at the balance of operation, and the function of uncertainties within the systemparametersonthestructuralresponse. Asaresult, thereisanongoing e?ort to handle such concerns, resulting in the advance of latest analytical and computational instruments, a few of that are mentioned during this monograph. The monograph follows an process in response to an built-in therapy of study and computation. any such hybrid procedure, coupled with machine algebra, may end up in effects that can not be bought by way of different commonplace th- ries within the eld. We exhibit, that during a large type of difficulties just a conscientiously ready numerical test by way of simply mathematical conside- tionscan?nallyleadtothesoughtresults. Thenumerousanalyticalconstr- tions are illustrated by means of examples of software and computational results.

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Nonlinear Dynamics of Continuous Elastic Systems by Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Alexander F. Vakakis


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